Finding the Third Proportional to 162,144 and 259,032

Step by Step Solution

1. Step 1: Write the proportion equation
   162,144 : 259,032 = 259,032 : x
2. Step 2: Convert to fraction form
   162,144/259,032 = 259,032/x
3. Step 3: Cross multiply
   162,144x = 259,032 × 259,032
4. Step 4: Simplify right side
   162,144x = 67,097,577,024
5. Step 5: Solve for x
   x = 67,097,577,024/162,144
6. Step 6: Final answer
   x = 413,814.74